968948640
968,948,640 is an even composite number composed of six prime numbers multiplied together.
What does the number 968948640 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
968948640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 968948640:
25 × 32 × 5 × 112 × 67 × 83
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 11 × 67 × 83)See below for interesting mathematical facts about the number 968948640 from the Numbermatics database.
Names of 968948640
- Cardinal: 968948640 can be written as Nine hundred sixty-eight million, nine hundred forty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 9.6894864 × 108
Factors of 968948640
Divisors of 968948640
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 67 72 80 83 88 90 96 99 110 120 121 132 134 144 160 165 166 176 180 198 201 220 240 242 249 264 268 288 330 332 335 352 360 363 396 402 415 440 480 484 495 498 528 536 603 605 660 664 670 720 726 737 747 792 804 830 880 913 968 990 996 1005 1056 1072 1089 1206 1210 1245 1320 1328 1340 1440 1452 1474 1494 1584 1608 1660 1760 1815 1826 1936 1980 1992 2010 2144 2178 2211 2412 2420 2490 2640 2656 2680 2739 2904 2948 2988 3015 3168 3216 3320 3630 3652 3685 3735 3872 3960 3984 4020 4356 4422 4565 4824 4840 4980 5280 5360 5445 5478 5561 5808 5896 5976 6030 6432 6633 6640 7260 7304 7370 7470 7920 7968 8040 8107 8217 8712 8844 9130 9648 9680 9960 10043 10720 10890 10956 11055 11122 11616 11792 11952 12060 13266 13280 13695 14520 14608 14740 14940 15840 16080 16214 16434 16683 17424 17688 18260 19296 19360 19920 20086 21780 21912 22110 22244 23584 23904 24120 24321 26532 27390 27805 29040 29216 29480 29880 30129 32160 32428 32868 33165 33366 34848 35376 36520 39840 40172 40535 41085 43560 43824 44220 44488 48240 48642 50049 50215 53064 54780 55610 58080 58960 59760 60258 61171 64856 65736 66330 66732 70752 72963 73040 80344 81070 82170 83415 87120 87648 88440 88976 90387 96480 97284 100098 100430 106128 109560 111220 117920 119520 120516 121605 122342 129712 131472 132660 133464 145926 146080 150645 160688 162140 164340 166830 174240 176880 177952 180774 183513 194568 200196 200860 212256 219120 222440 241032 243210 244684 250245 259424 262944 265320 266928 291852 301290 305855 321376 324280 328680 333660 353760 361548 364815 367026 389136 400392 401720 438240 444880 451935 482064 486420 489368 500490 530640 533856 550539 583704 602580 611710 648560 657360 667320 672881 723096 729630 734052 778272 800784 803440 889760 903870 917565 964128 972840 978736 1000980 1061280 1101078 1167408 1205160 1223420 1297120 1314720 1334640 1345762 1446192 1459260 1468104 1601568 1606880 1807740 1835130 1945680 1957472 2001960 2018643 2202156 2334816 2410320 2446840 2669280 2691524 2752695 2892384 2918520 2936208 3364405 3615480 3670260 3891360 4003920 4037286 4404312 4820640 4893680 5383048 5505390 5837040 5872416 6055929 6728810 7230960 7340520 8007840 8074572 8808624 9787360 10093215 10766096 11010780 11674080 12111858 13457620 14461920 14681040 16149144 17617248 20186430 21532192 22021560 24223716 26915240 29362080 30279645 32298288 40372860 44043120 48447432 53830480 60559290 64596576 80745720 88086240 96894864 107660960 121118580 161491440 193789728 242237160 322982880 484474320 968948640
- Sum of all divisors σ(n): 3733146144
- Sum of proper divisors (its aliquot sum) s(n): 2764197504
- 968948640 is an abundant number, because the sum of its proper divisors (2764197504) is greater than itself. Its abundance is 1795248864
Bases of 968948640
- Binary: 1110011100000011111011101000002
- Hexadecimal: 0x39C0FBA0
- Base-36: G0VXK0
Squares and roots of 968948640
- 968948640 squared (9689486402) is 938861466957849600
- 968948640 cubed (9689486403) is 909708541557213307244544000
-
The
square root of 968948640 is 31127.9398611601 -
The
cube root of 968948640 is 989.5405275263
Scales and comparisons
How big is 968948640?- 968,948,640 seconds is equal to 30 years, 42 weeks, 16 hours, 24 minutes.
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To count from 1 to 968,948,640 would take you about forty-six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 968948640 cubic inches would be around 82.5 feet tall.
Recreational maths with 968948640
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